ES_Problems - Note: this problem is solved in Jackson (page...

Info iconThis preview shows pages 1–180. Sign up to view the full content.

View Full Document Right Arrow Icon
(1) Calculate the Green function for a problem defined in the region z greater or equal than zero and y greater or equal than zero with Dirichlet boundary conditions on the planes z=0 and y=0.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
(2) Using Green functions find the electrostatic potential Phi( x ) outside a ground sphere of radius R in a uniform electric field E_0 along the z axis.
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Using the technique of separation of variables find the Green function for problem 15 in Ch.2 Jackson. You have to obtain the expression given in part b) of the problem.
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
(3) Using the technique of separation of variables obtain the potential inside a grounded hollow sphere of radius b with a concentric ring of dius a (a<b) and total charge Q radius a (a<b) and total charge Q.
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 12
Background image of page 13

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 14
Background image of page 15

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 16
Background image of page 17

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 18
Background image of page 19

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 20
Background image of page 21

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 22
Background image of page 23

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 24
Background image of page 25

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 26
Background image of page 27

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 28
Background image of page 29

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 30
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Note: this problem is solved in Jackson (page 123; Fig.3.11) using the Green function. Solve it using separation of variables just as we did in class for the case of a charged ring in empty space. (4) (5) (6) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) (17) (18) (19) (21) (22) (23) (24) (25) (26) (27) (28) (29) (30) (31) (32) (33) (34) (35) (36) (37) (38) (39) (40) (41) (42) (43) (44) (45) Solution: (46) (47) Solution: (48) Solution: (49) Solution: (50) lution: Solution: (51) Solution: (52) Solution: (53) Solution: (54) Solution: (55) Solution: (56) Solution: (57) Solution: (58) Solution: (59) Solution: (60) Solution: (61) Solution: (62) Solution:...
View Full Document

This note was uploaded on 05/14/2010 for the course EAD 234 taught by Professor Ncl during the Spring '10 term at École Normale Supérieure.

Page1 / 180

ES_Problems - Note: this problem is solved in Jackson (page...

This preview shows document pages 1 - 180. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online